## Theoretical

1. What is a b-value?

The b-value $$b$$ or diffusion weighting is a function of the strength, duration and temporal spacing and timing parameters of the specific paradigm. This function is derived from the Bloch-Torrey equations. In the case of the classical Stejskal-Tanner pulsed gradient spin-echo (PGSE) sequence, at the time of readout $$b=\gamma^{2}G^{2}\delta^{2}\left(\Delta-\frac{\delta}{3}\right)$$ where $$\gamma$$ is the gyromagnetic radio, $$\delta$$ denotes the pulse width, $$G$$ is the gradient amplitude and $$\Delta$$ the centre-to-centre spacing. $$\gamma$$ is a constant, but we can change the other three parameters and in that way control the b-value.

1. What is q-space?

Q-space is the space of one or more 3D spin displacement wave vectors $$\mathbf{q}$$. The vector $$\mathbf{q}$$ parametrises the space of diffusion gradients. It is related to the applied magnetic gradient $$\mathbf{g}$$ by the formula $$\mathbf{q}=(2\pi)^{-1}\gamma\delta\mathbf{g}$$. Every single vector $$\mathbf{q}$$ has the same orientation as the direction of diffusion gradient $$\mathbf{g}$$ and length proportional to the strength $$g$$ of the gradient field. Every single point in q-space corresponds to a possible 3D volume of the MR signal for a specific gradient direction and strength. Therefore if, for example, we have programmed the scanner to apply 60 gradient directions, then our data should have 60 diffusion volumes, with each volume obtained for a specific gradient. A Diffusion Weighted Image (DWI) is the volume acquired from only one direction gradient.

1. What does DWI stand for?

Diffusion Weighted Imaging (DWI) is MRI imaging designed to be sensitive to diffusion. A diffusion weighted image is a volume of voxel data gathered by applying only one gradient direction using a diffusion sequence. We expect that the signal in any voxel should be low if there is greater mobility of water molecules along the specified gradient direction and it should be high if there is less movement in that direction. Yes, it is counterintuitive but correct! However, greater mobility gives greater opportunity for the proton spins to be dephased, producing a smaller RF signal.

1. Why dMRI and not DTI?

Diffusion MRI (dMRI or dwMRI) are the preferred terms if you want to speak about diffusion weighted MRI in general. DTI (diffusion tensor imaging) is just one of the many ways you can reconstruct the voxel from your measured signal. There are plenty of others, for example DSI, GQI, QBI, etc.

1. What is the difference between Image coordinates and World coordinates?

Image coordinates have positive integer values and represent the centres $$(i, j, k)$$ of the voxels. There is an affine transform (stored in the nifti file) that takes the image coordinates and transforms them to millimeter (mm) in real world space. World coordinates have floating point precision and your dataset has 3 real dimensions e.g. $$(x, y, z)$$.

1. We generated dMRI datasets with nonisotropic voxel sizes. What do we do?

You need to resample your raw data to an isotropic size. Have a look at the module dipy.align.aniso2iso. (We think it is a mistake to acquire nonisotropic data because the directional resolution of the data will depend on the orientation of the gradient with respect to the voxels, being lower when aligned with a longer voxel dimension.)

1. Why are non-isotropic voxel sizes a bad idea in diffusion?

If, for example, you have $$2 \times 2 \times 4\ \textrm{mm}^3$$ voxels, the last dimension will be averaged over the double distance and less detail will be captured compared to the other two dimensions. Furthermore, with very anisotropic voxels the uncertainty on orientation estimates will depend on the position of the subject in the scanner.

## Practical

1. Why Python and not MATLAB or some other language?

Python is free, batteries included, very well-designed, painless to read and easy to use. There is nothing else like it. Give it a go. Once with Python, always with Python.

1. Isn’t Python slow?

True, sometimes Python can be slow, if you are using multiple nested for loops, for example. In that case, we use Cython, which takes execution up to C speed.

1. What numerical libraries do you use in Python?

The best ever designed numerical library - NumPy.

1. Which Python console do you recommend?

1. What do you use for visualization?

For 3D visualization we use dipy.viz which depends in turn on FURY:

from dipy.viz import window, actor


For 2D visualization we use matplotlib.

1. Which file formats do you support?

Nifti (.nii), Dicom (Siemens(read-only)), Trackvis (.trk), DIPY (.dpy), Numpy (.npy, ,npz), text and any other formats supported by nibabel and pydicom.

You can also read/save in Matlab version v4 (Level 1.0), v6 and v7 to 7.2, using scipy.io.loadmat. For higher versions >= 7.3, you can use pytables or any other python-to-hdf5 library e.g. h5py.

For object serialization you can use dipy.io.pickles functions load_pickle, save_pickle.

1. What is dpy?

dpy is an hdf5 file format which we use in DIPY to store tractography and other information. This allows us to store huge tractographies and load different parts of the datasets directly from the disk as if it were in memory.

1. Which python editor should I use?

Any text editor would do the job but we prefer the following: PyCharm, Sublime, Aptana, Emacs, Vim and Eclipse (with PyDev).

1. I have problems reading my dicom files using nibabel, what should I do?

Use Chris Rorden’s dcm2nii to transform them to nifti files. http://www.cabiatl.com/mricro/mricron/dcm2nii.html Or you can make your own reader using pydicom. http://code.google.com/p/pydicom/ and then use nibabel to store the data as nifti.

1. Where can I find diffusion data?